34212641100 has 216 divisors, whose sum is σ = 115208032464. Its totient is φ = 7805952000.

The previous prime is 34212641077. The next prime is 34212641119. The reversal of 34212641100 is 114621243.

It is a super-2 number, since 2×34212641100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 589380 + ... + 644820.

Almost surely, 2^34212641100 is an apocalyptic number.

34212641100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34212641100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57604016232).

34212641100 is an abundant number, since it is smaller than the sum of its proper divisors (80995391364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34212641100 is a wasteful number, since it uses less digits than its factorization.

34212641100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55497 (or 55479 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 34212641100 in words is "thirty-four billion, two hundred twelve million, six hundred forty-one thousand, one hundred".